The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 1 1 1 a*X 1 1 1 1 a*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X 1 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 0 X a^7*X+2 X a^6*X+2 a^6*X+2 a*X a^5*X+2 a^5 a^3 2 a^6*X a^7*X+a^6 a^5 a^6*X a^7*X+1 a^7 1 a^5*X+2 a a^7*X+a^2 a^3 a^7*X+a^6 X+a a^6*X+a^6 a^7*X+1 a^6*X+a^2 1 X+a^5 X+a^3 1 X+a^7 X+a^5 a^6*X+a^2 X+a a^6*X+1 a^6*X+a^6 X+a^3 X+a^7 a^5*X+a^2 1 a^6*X+1 a^2*X+a^5 a^2*X+a a*X+a^3 a^2*X+a^7 a^5*X+a^6 a^2*X+1 1 a*X+a X+a^2 a*X+a^3 a^2*X+a^7 1 a^5 a^7*X+a^6 a^5*X+a^5 a*X+a a^3*X+a^2 a^6*X+a^6 a^5*X a^6*X+1 a^3 a^7 a^6 X+a^2 2 a^5*X+1 a^5*X+a^3 a^5*X+a^5 a*X+a^7 0 1 a*X+a 2*X a^5*X a^3*X+a^2 2*X+1 X+a^3 a^2*X+2 X+a^5 a^5*X+a^6 a 0 0 a^7*X a*X a^6*X a^5*X 2*X a^3*X a^5*X a^2*X X a*X 2*X a^7*X a^6*X a^3*X 0 a^7*X a*X a^5*X 0 a^2*X a^6*X a^3*X a^7*X 0 X a^3*X 2*X a*X a^6*X a^7*X a^2*X a^2*X a^6*X 2*X X 2*X a*X X 2*X a^2*X a^3*X a^6*X a^7*X a^6*X a^5*X a^5*X X a*X 0 a^3*X a^5*X X 2*X a*X a^3*X a^7*X a^2*X 0 a^3*X a^5*X 2*X a^7*X 2*X 0 a^2*X a^6*X a^5*X a*X X 0 X a^3*X a*X a^6*X a^2*X a^7*X a^3*X a^2*X a^5*X 2*X 2*X a*X 0 a^5*X X a^6*X a^3*X a^3*X generates a code of length 90 over F9[X]/(X^2) who´s minimum homogenous weight is 703. Homogenous weight enumerator: w(x)=1x^0+1080x^703+5832x^704+120x^711+3096x^712+14184x^713+424x^720+3528x^721+11160x^722+176x^729+3960x^730+15480x^731+8x^747 The gray image is a linear code over GF(9) with n=810, k=5 and d=703. This code was found by Heurico 1.16 in 41.6 seconds.